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I have no clue how this is having 52 votes and no comments on it. How am I supposed to know this is a good book? I'll highlight the goals of this book as it exp

I have no clue how this is having 52 votes and no comments on it. How am I supposed to know this is a good book? I'll highlight the goals of this book as it explains more about the title. > We place an emphasis on active learning and on developing students’ intuition through their investigation of examples. For us, active learning involves students – they are DOING something instead of being passive learners. I found this goal the most interesting. > To help students understand that mathematics is not done as it is often presented. We expect students to experiment through examples, make conjectures, and then refine their conjectures. We believe it is important for students to learn that definitions and theorems don’t pop up completely formed in the minds of most mathematicians, but are the result of much thought and work

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davidivadavid 7y ago
I've been thinking about something along similar lines for a while and was wondering if there were any math/physics/science textbooks that not only took a more historical approach to teaching their subject, but also had a more "problem based" motivation. In other words, I'm looking for textbooks that start from the problems scientists were trying to solve when they came up with their discoveries, instead of presenting the theory ex nihilo, and then retroengineering a purpose to that theory (which to my recollection is how 99% of textbooks work).
- melvinroest 7y ago
  Oh! If you have any recommendations, I’d be interested :)
marktangotango 7y ago
The reason I upvoted was with intent to review later. I personally found that after two semesters of linear and a BS Mathematics I didn’t know jack about linear algebra. I came to the conclusion that I should’ve studied physics or engineering if I’d wanted to actually learn how to use it!
- josinalvo 7y ago
  for this use case, I use favorite rather than the upvote

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davidivadavid 7y ago

I've been thinking about something along similar lines for a while and was wondering if there were any math/physics/science textbooks that not only took a more historical approach to teaching their subject, but also had a more "problem based" motivation. In other words, I'm looking for textbooks that start from the problems scientists were trying to solve when they came up with their discoveries, instead of presenting the theory ex nihilo, and then retroengineering a purpose to that theory (which to my recollection is how 99% of textbooks work).

melvinroest 7y ago
Oh! If you have any recommendations, I’d be interested :)

marktangotango 7y ago

The reason I upvoted was with intent to review later. I personally found that after two semesters of linear and a BS Mathematics I didn’t know jack about linear algebra. I came to the conclusion that I should’ve studied physics or engineering if I’d wanted to actually learn how to use it!

josinalvo 7y ago
for this use case, I use favorite rather than the upvote